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  1. Research

    A fractional differential equation model for continuous glucose monitoring data

    The main aim of this research was to test if fractional-order differential equation models could give better fits than integer-order models to continuous glucose monitoring (CGM) data from subjects with type 1...

    Sasikarn Sakulrang, Elvin J Moore, Surattana Sungnul and Andrea de Gaetano

    Advances in Difference Equations 2017 2017:150

    Published on: 25 May 2017

  2. Research

    Controllability for a new class of fractional neutral integro-differential evolution equations with infinite delay and nonlocal conditions

    In this paper, we apply the fractional calculus and a suitable fixed point theorem with the measure of noncompactness to give the sufficient conditions of the controllability for a new class of fractional neut...

    Jun Du, Wei Jiang, Denghao Pang and Azmat Ullah Khan Niazi

    Advances in Difference Equations 2017 2017:139

    Published on: 18 May 2017

  3. Research

    Synchronization analysis for stochastic reaction-diffusion Cohen-Grossberg neural networks with Neumann boundary conditions via periodically intermittent control

    In this paper, mathematical analysis is proposed on the synchronization problem for stochastic reaction-diffusion Cohen-Grossberg neural networks with Neumann boundary conditions. By introducing several import...

    Lili Wang, Rui Xu and Zhiqiang Wang

    Advances in Difference Equations 2017 2017:141

    Published on: 18 May 2017

  4. Research

    Existence of global attractor for one-dimensional weakly damped nonlinear Schrödinger equation with Dirac interaction and artificial boundary condition in half-line

    We consider a nonlinear Schrödinger equation with Dirac interaction defect. Moreover, non-standard boundary conditions are introduced in connection to the behavior of the solutions. First, we prove that this k...

    Mostafa Abounouh, Hassan Al Moatassime and Abderrazak Chrifi

    Advances in Difference Equations 2017 2017:137

    Published on: 12 May 2017

  5. Research

    Comparison of stochastic and random models for bacterial resistance

    In this study, a mathematical model of bacterial resistance considering the immune system response and antibiotic therapy is examined under random conditions. A random model consisting of random differential e...

    Mehmet Merdan, Zafer Bekiryazici, Tulay Kesemen and Tahir Khaniyev

    Advances in Difference Equations 2017 2017:133

    Published on: 9 May 2017

  6. Research

    The convergence of iterative learning control for some fractional system

    In this paper, we study the convergence of iterative learning control for some fractional equation. Firstly, by using the Laplace transform and the M-L function, we show the concept of mild solutions. Secondly...

    Xianghu Liu, Yanfang Li and Yanmin Liu

    Advances in Difference Equations 2017 2017:132

    Published on: 8 May 2017

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